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Finding the Fourth Proportional to 3,219.76, 4,834.55 and 3,061.20

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Solution

The fourth proportional to 3,219.76, 4,834.55 and 3,061.20 is: 4,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.76 : 4,834.55 = 3,061.20 : x
  2. Step 2: Convert to fraction form
    3,219.76/4,834.55 = 3,061.20/x
  3. Step 3: Cross multiply
    3,219.76x = 4,834.55 × 3,061.20
  4. Step 4: Simplify right side
    3,219.76x = 14,799,524.46
  5. Step 5: Solve for x
    x = 14,799,524.46/3,219.76
  6. Step 6: Final answer
    x = 4,596.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.